Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Returning to inperson experiences in February: Visit the COVID19 website for more information.
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Robert Xu Yang, Department of Pure Mathematics, University of Waterloo
"Interpolation Sets in Harmonic Analysis"
Many classical harmonic analysis results are based on 'Lacunary or Hadamard sets'. Weierstrass used Hadamard sequences to build the first example of nowhere differentiable continuous function. Hadamard sets also inspired the classical Hadamard gap theorem and the Riesz product measure, which is an example of a continuous measure whose Fourier coefficients do not vanish at infinity.
Yoav Len, Department of Combinatorics & Optimization, University of Waterloo
"Berkovich spaces"
Berkovich analytic spaces are a slick way for "filling the holes" in varieties defined over nonArchimedean fields. In the talk, I will introduce the analytification construction, and make the previous sentence more precise. I will explicitly construct the Berkovich line, and explain how to find the analytification of curves of higher genus. The talk will mostly be informal, and focus on results and constructions rather than precise proofs.
MC 5403
Nick Rollick, Department of Pure Mathematics, University of Waterloo
"Mistakes don't matter: Getting the message without getting the message"
François Seguin, Queen's University
"Prime divisors of sparse values of cyclotomic polynomials"
We will be presenting a result about the largest prime divisor of cyclotomic polynomials evaluated at a specific integer.
MC 5417
Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo
"Elimination theory and closed embeddings"
We finish chapter 7 with a discussion of quantifier elimination and the fundamental theorem of elimination theory; we then begin to study closed embeddings of schemes.
MC 5417
Matthew HarrisonTrainor, Department of Pure Mathematics, University of Waterloo
"How to know when you've proved the best possible characterization or classification"
Liron Speyer, University of Virginia
"Decomposable Specht modules"
I will give a brief survey of the study of decomposable Specht modules for the symmetric group and its Hecke algebra, which includes results of Murphy, Dodge and Fayers, and myself. I will then report on an ongoing project with Louise Sutton, in which we are studying decomposable Specht modules for the Hecke algebra of type B indexed by 'bihooks'.
MC 5403
Mizanur Rahaman, Department of Pure Mathematics, University of Waterloo
"Eventually Entanglement Breaking Maps"
Nick Rollick, Department of Pure Mathematics, University of Waterloo
"Approximating projective subvarieties"
David Urbanik, Department of Pure Mathematics, University of Waterloo
"The Role of Potential Theory in the Work of BakerDeMarco"
Guhan Venkat, Laval University
"An integral Euler system for the RankinSelberg product of two supersingular modular forms"
Eric Boulter, Department of Pure Mathematics, University of Waterloo
"Closed Embeddings and Ideal Sheaves"
This week we will use our intuitive idea of closed subschemes in the affine case to develop closed subschemes in general. As with most of the properties of schemes we have considered so far, closed subschemes will be defined in terms of their associated morphisms, in this case closed embeddings. We will also define locally closed embeddings and look at the conditions under which an ideal sheaf of a scheme induces a closed embedding.
MC 5417
Cam Marcott, Department of Combinatorics & Optimization, University of Waterloo
"What’s an amplituhedron?”
I'll introduce the amplituhedron, focusing on why the suffix "hedron" is justified.
MC 5501
Tobias Fritz, Max Planck Institute for Mathematics in the Sciences / Perimeter Institute
"Homogeneous length functions on groups: a Polymath adventure"
Justin Laverdure, Department of Pure Mathematics, University of Waterloo
"Residually small varieties have no more than continuumsized SIs"
We go over a proof of a result of Taylor's: that, in a countable signature, if a variety K has some bound on the size of its subdirectly irreducible algebras (a socalled "residually small" variety), then in fact this bound is at most the cardinality of the continuum.
MC 5479
Dilian Yang, University of Windsor
"Selfsimilar higherrank graph C*algebras"
Tatyana Barron, Western University
"Multisymplectic manifolds and quantization"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"Archimedean and nonArchimedean Mandelbrot Sets"
Arpita Kar, Queen's University
"On the normal number of prime factors of Ramanujan Tau function"
We will discuss various results concerning ω(τ(p)), ω(τ(n)), ω(τ(p+1)) where τ denotes Ramanujan Tau function and ω(n) denotes the number of prime factors of n counted without multiplicity. This is work in progress with Prof. Ram Murty.
MC 5417
Nickolas Rollick, Department of Pure Mathematics, University of Waterloo
"The ideal tool"
Eli Shamovich, Department of Pure Mathematics, University of Waterloo
"Free Function Theory and Operator Algebras"
Jake Zimmermann Simmons, Department of Pure Mathematics, University of Waterloo
"An example of a variety which is locally finite and residually finite but not residually < N for any natural number N (and also unfortunately not of finite type)"
Jonathan Fraser, University of St. Andrews
"The Assouad spectrum"
Matthias Nagel, McMaster University
"Triple linking numbers and surface systems"
We relate fillability of two link exteriors, and the question when two links admit homeomorphic surface systems to (a refinement of) Milnor’s triple linking numbers. This extends a theorem of DavisRoth to include also links with nonvanishing linking numbers. This is joint work with C. Davis, P. Orson, and M. Powell.
MC 5403
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
“Generalized Mandelbrot sets in the global setting”
Oliver Schlotterer, Max Planck Institute for Gravitational Physics/Perimeter Institute
"The number theory of string amplitudes"
“The State of the Union”
Serban Belinschi, Université Toulouse III
"Noncommutative hyperbolic metrics"
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.